System Reinstallation

I have a Macbook Pro Intel Core Duo (first generation of MacBook Pro released). I run OSX 10.6.5. My disk utility has detected a problem and says I need the install disks that came with the computer. Called apple and they said I could reboot from snow leopard or the upgrade.** Problem is that I don't have any disks with me except those that came with my brand new iMac. Can I use those to reinstall the system? Is there any other way?

**They also said that after 2007, the install disks that come with computers are keyed to that specific computer so I "might" not be able to use the disk to repair.

Additionally, and I don't know if this makes a difference but I have the airport/time capsule which backs up my computer for easy restore.

Thank you